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Geometry
Mathematics Course Description
Florida Sunshine State Standards 2007
Course Code
1206310
Course Category 6-12
Subject Area
Mathematics
Course Type
Core
Course Title
Geometry
Course Level
2
Course Length
Full Year
Credit Description 1
Abbreviated Title Geometry
RELATED BENCHMARKS (51) :
Scheme
Descriptor
LA.1112.1.6.1
The student will use new vocabulary that is introduced and taught directly;
LA.1112.1.6.2
The student will listen to, read, and discuss familiar and conceptually challenging text;
LA.1112.1.6.5
The student will relate new vocabulary to familiar words;
LA.910.1.6.1
The student will use new vocabulary that is introduced and taught directly;
LA.910.1.6.2
The student will listen to, read, and discuss familiar and conceptually challenging text;
LA.910.1.6.5
The student will relate new vocabulary to familiar words;
MA.912.D.6.2
Find the converse, inverse, and contrapositive of a statement
MA.912.D.6.3
Determine whether two propositions are logically equivalent.
MA.912.D.6.4
Use methods of direct and indirect proof and determine whether a short proof is
logically valid.
MA.912.G.1.1
Find the lengths and midpoints of line segments in two-dimensional coordinate
systems.
MA.912.G.1.2
Construct congruent segments and angles, angle bisectors, and parallel and
perpendicular lines using a straight edge and compass or a drawing program,
explaining and justifying the process used.
MA.912.G.1.3
Identify and use the relationships between special pairs of angles formed by parallel
lines and transversals.
MA.912.G.2.1
Identify and describe convex, concave, regular, and irregular polygons.
MA.912.G.2.2
Determine the measures of interior and exterior angles of polygons, justifying the
method used.
MA.912.G.2.3
Use properties of congruent and similar polygons to solve mathematical or real-world
problems.
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Geometry
Mathematics Course Description
Florida Sunshine State Standards 2007
Scheme
MA.912.G.2.4
Descriptor
Apply transformations (translations, reflections, rotations, dilations, and scale factors)
to polygons. to determine congruence, similarity, and symmetry. Know that images
formed by translations, reflections, and rotations are congruent to the original shape.
Create and verify tessellations of the plane using polygons.
MA.912.G.2.5
Explain the derivation and apply formulas for perimeter and area of polygons
(triangles, quadrilaterals, pentagons, etc.).
MA.912.G.2.7
Determine how changes in dimensions affect the perimeter and area of common
geometric figures.
MA.912.G.3.1
Describe, classify, and compare relationships among quadrilaterals including the
square, rectangle, rhombus, parallelogram, trapezoid, and kite.
MA.912.G.3.2
Compare and contrast special quadrilaterals on the basis of their properties.
MA.912.G.3.3
Use coordinate geometry to prove properties of congruent, regular and similar
quadrilaterals.
MA.912.G.3.4
Prove theorems involving quadrilaterals.
MA.912.G.4.1
Classify, construct, and describe triangles that are right, acute, obtuse, scalene,
isosceles, equilateral, and equiangular.
MA.912.G.4.2
Define, identify, and construct altitudes, medians, angle bisectors, perpendicular
bisectors,orthocenter, centroid, incenter, and circumcenter.
MA.912.G.4.3
Construct triangles congruent to given triangles.
MA.912.G.4.4
Use properties of congruent and similar triangles to solve problems involving lengths
and areas.
MA.912.G.4.5
Apply theorems involving segments divided proportionally.
MA.912.G.4.6
Prove that triangles are congruent or similar and use the concept of corresponding
parts of congruent triangles.
MA.912.G.4.7
Apply the inequality theorems: triangle inequality, inequality in one triangle, and the
Hinge Theorem.
MA.912.G.5.1
Prove and apply the Pythagorean Theorem and its converse.
MA.912.G.5.2
State and apply the relationships that exist when the altitude is drawn to the
hypotenuse of a right triangle.
MA.912.G.5.3
Use special right triangles (30° - 60° - 90° and 45° - 45° - 90°) to solve problems.
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Geometry
Mathematics Course Description
Florida Sunshine State Standards 2007
Scheme
MA.912.G.5.4
Descriptor
Solve real-world problems involving right triangles.
MA.912.G.6.2
Define and identify: circumference, radius, diameter, arc, arc length, chord, secant,
tangent and concentric circles.
MA.912.G.6.4
Determine and use measures of arcs and related angles (central, inscribed, and
intersections of secants and tangents).
MA.912.G.6.5
Solve real-world problems using measures of circumference, arc length, and areas of
circles and sectors.
MA.912.G.6.6
Given the center and the radius, find the equation of a circle in the coordinate plane or
given the equation of a circle in center-radius form, state the center and the radius of
the circle.
MA.912.G.6.7
Given the equation of a circle in center-radius form or given the center and the radius
of a circle, sketch the graph of the circle.
MA.912.G.7.1
Describe and make regular, non-regular, and oblique polyhedra and sketch the net for
a given polyhedron and vice versa.
MA.912.G.7.2
Describe the relationships between the faces, edges, and vertices of polyhedra.
MA.912.G.7.4
Identify chords, tangents, radii, and great circles of spheres
MA.912.G.7.5
Explain and use formulas for lateral area, surface area, and volume of solids.
MA.912.G.7.6
Identify and use properties of congruent and similar solids.
MA.912.G.7.7
Determine how changes in dimensions affect the surface area and volume of common
geometric solids.
MA.912.G.8.1
Analyze the structure of Euclidean geometry as an axiomatic system. Distinguish
between undefined terms, definitions, postulates and theorems.
MA.912.G.8.2
Use a variety of problem-solving strategies, such as drawing a diagram, making a
chart, guess-and-check, solving a simpler problem, writing an equation, and working
backwards.
MA.912.G.8.3
Determine whether a solution is reasonable in the context of the original situation.
MA.912.G.8.4
Make conjectures with justifications about geometric ideas. Distinguish between
information that supports a conjecture and the proof of a conjecture.
MA.912.G.8.5
Write geometric proofs, including proofs by contradiction and proofs involving
coordinate geometry. Use and compare a variety of ways to present deductive proofs,
such as flow charts, paragraphs, two-column, and indirect proofs.
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Geometry
Mathematics Course Description
Florida Sunshine State Standards 2007
Scheme
MA.912.G.8.6
Descriptor
Perform basic constructions using straightedge and compass, and/or drawing
programs describing and justifying the procedures used. Distinguish between
sketching, constructing and drawing geometric figures.
MA.912.T.2.1
Define and use the trigonometric ratios (sine, cosine, tangent, cotangent, secant,
cosecant) in terms of angles of right triangles.
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